oj.uz

Submission #975975

# Submission time Handle Problem Language Result Execution time Memory
975975 2024-05-06T04:13:37 Z qwerasdfzxcl Duathlon (APIO18_duathlon) C++17
100 / 100
 185 ms 58356 KB 
#include <bits/stdc++.h>

using namespace std;
typedef long long ll;

template<class T>
struct graph{
	using Weight_t = T;
	struct Edge_t{
		int from, to;
		T cost;
	};
	int n;
	vector<Edge_t> edge;
	vector<vector<int>> adj;
	function<bool(int)> ignore;
	graph(int n = 1): n(n), adj(n){
		assert(n >= 1);
	}
	graph(const vector<vector<int>> &adj, bool undirected = true): n((int)adj.size()), adj(n){
		assert(n >= 1);
		if(undirected){
			for(auto u = 0; u < n; ++ u) for(auto v: adj[u]) if(u < v) link(u, v);
		}
		else for(auto u = 0; u < n; ++ u) for(auto v: adj[u]) orient(u, v);
	}
	graph(const vector<vector<pair<int, T>>> &adj, bool undirected = true): n((int)adj.size()), adj(n){
		assert(n >= 1);
		if(undirected){
			for(auto u = 0; u < n; ++ u) for(auto [v, w]: adj[u]) if(u < v) link(u, v, w);
		}
		else for(auto u = 0; u < n; ++ u) for(auto [v, w]: adj[u]) orient(u, v, w);
	}
	graph(int n, vector<array<int, 2>> &edge, bool undirected = true): n(n), adj(n){
		assert(n >= 1);
		for(auto [u, v]: edge) undirected ? link(u, v) : orient(u, v);
	}
	graph(int n, vector<tuple<int, int, T>> &edge, bool undirected = true): n(n), adj(n){
		assert(n >= 1);
		for(auto [u, v, w]: edge) undirected ? link(u, v, w) : orient(u, v, w);
	}
	int operator()(int u, int id) const{
		#ifdef LOCAL
		assert(0 <= id && id < (int)edge.size());
		assert(edge[id].from == u || edge[id].to == u);
		#endif
		return u ^ edge[id].from ^ edge[id].to;
	}
	int link(int u, int v, T w = {}){ // insert an undirected edge
		int id = (int)edge.size();
		adj[u].push_back(id), adj[v].push_back(id), edge.push_back({u, v, w});
		return id;
	}
	int orient(int u, int v, T w = {}){ // insert a directed edge
		int id = (int)edge.size();
		adj[u].push_back(id), edge.push_back({u, v, w});
		return id;
	}
	void clear(){
		for(auto [u, v, w]: edge){
			adj[u].clear();
			adj[v].clear();
		}
		edge.clear();
		ignore = {};
	}
	graph transpose() const{ // the transpose of the directed graph
		graph res(n);
		for(auto id = 0; id < (int)edge.size(); ++ id){
			if(ignore && ignore(id)) continue;
			res.orient(edge[id].to, edge[id].from, edge[id].cost);
		}
		return res;
	}
	int degree(int u) const{ // the degree (outdegree if directed) of u (without the ignoration rule)
		return (int)adj[u].size();
	}
	// The adjacency list is sorted for each vertex.
	vector<vector<int>> get_adjacency_list() const{
		vector<vector<int>> res(n);
		for(auto u = 0; u < n; ++ u) for(auto id: adj[u]){
			if(ignore && ignore(id)) continue;
			res[(*this)(u, id)].push_back(u);
		}
		return res;
	}
	void set_ignoration_rule(const function<bool(int)> &f){
		ignore = f;
	}
	void reset_ignoration_rule(){
		ignore = nullptr;
	}
	friend ostream &operator<<(ostream &out, const graph &g){
		for(auto id = 0; id < (int)g.edge.size(); ++ id){
			if(g.ignore && g.ignore(id)) continue;
			auto &e = g.edge[id];
			out << "{" << e.from << ", " << e.to << ", " << e.cost << "}\n";
		}
		return out;
	}
};

// Requires graph
struct biconnected_components{
	int n, attempt, comp_attempt;
	vector<int> pos;
	vector<int> stack;
	vector<int> was;
	vector<int> comp_was;
	// block-cut tree descriptions
	vector<vector<int>> belongs; // vertex -> list of 2-vertex-connected components
	vector<vector<int>> comp_vertex; // list of vertices in a 2-vertex-connected component
	vector<vector<int>> comp_edge; // list of edges in a 2-vertex-connected component
	vector<int> bridge;
	biconnected_components(){ }
	biconnected_components(int n){ init(n); }
	template<class T>
	biconnected_components(const graph<T> &g){ init(g.n); run_all(g); }
	void init(int n){
		this->n = n;
		pos.assign(n, -1);
		was.assign(n, -2);
		attempt = -1;
		comp_was.assign(n, -2);
		comp_attempt = -1;
		belongs.assign(n, {});
		comp_vertex.clear();
		comp_edge.clear();
		bridge.clear();
	}
	// O(n + m) where n and m are the number of reachable nodes and edges respectively.
	template<class T>
	void _run(const graph<T> &g, const vector<int> &src){
		int it = 0;
		auto recurse = [&](auto self, int u, int pe)->int{
			int low = pos[u] = ++ it;
			belongs[u].clear();
			was[u] = attempt;
			for(auto id: g.adj[u]){
				if(g.ignore && g.ignore(id) || id == pe) continue;
				int v = g(u, id);
				if(was[v] != attempt){
					was[v] = attempt;
					pos[v] = 0;
				}
				if(pos[v]){
					low = min(low, pos[v]);
					if(pos[v] < pos[u]) stack.push_back(id);
				}
				else{
					int size = (int)stack.size(), up = self(self, v, id);
					low = min(low, up);
					if(up == pos[u]){
						++ comp_attempt;
						stack.push_back(id);
						vector<int> comp_v;
						vector<int> comp_e(stack.begin() + size, stack.end());
						for(auto id: comp_e){
							auto [u, v, _] = g.edge[id];
							if(comp_was[u] != comp_attempt){
								comp_was[u] = comp_attempt;
								comp_v.push_back(u);
							}
							if(comp_was[v] != comp_attempt){
								comp_was[v] = comp_attempt;
								comp_v.push_back(v);
							}
						}
						for(auto u: comp_v) belongs[u].push_back((int)comp_vertex.size());
						comp_vertex.push_back(move(comp_v));
						comp_edge.push_back(move(comp_e));
						stack.resize(size);
					}
					else if(up < pos[u]) stack.push_back(id);
					else{
						belongs[g.edge[id].from].push_back((int)comp_vertex.size());
						belongs[g.edge[id].to].push_back((int)comp_vertex.size());
						comp_vertex.push_back({g.edge[id].from, g.edge[id].to});
						comp_edge.push_back({id});
						bridge.push_back(id);
					}
				}
			}
			return low;
		};
		for(auto u: src) if(was[u] != attempt) recurse(recurse, u, -1);
	}
	template<class T>
	void run(const graph<T> &g, const vector<int> &src){
		assert(g.n <= n);
		for(auto u: src) assert(0 <= u && u < g.n);
		comp_vertex.clear();
		comp_edge.clear();
		bridge.clear();
		++ attempt;
		_run(g, src);
	}
	template<class T>
	void run_all(const graph<T> &g){
		assert(g.n <= n);
		comp_vertex.clear();
		comp_edge.clear();
		bridge.clear();
		++ attempt;
		vector<int> src(g.n);
		iota(src.begin(), src.end(), 0);
		_run(g, src);
	}
	// Check if u is visited during the last run-like call.
	bool visited(int u) const{
		assert(0 <= u && u < n);
		return was[u] == attempt;
	}
	bool is_articulation_point(int u) const{
		assert(0 <= u && u < n && visited(n));
		return (int)belongs[u].size() >= 2;
	}
	bool is_bridge_component(int i) const{
		assert(0 <= i && i < (int)comp_vertex.size());
		return (int)comp_edge[i].size() == 1;
	}
	// # of 2-vertex-connected components
	int count() const{
		return (int)comp_vertex.size();
	}
};

int n, visited[300300];
ll ans, dp0[300300], dp[300300];
vector<int> adj[300300];

int dfs1(int s, int pa = -1){
	visited[s] = 1;
	if (s < n) dp[s] = 1;
	
	for (auto &v:adj[s]) if (v!=pa){
		dp[s] += dfs1(v, s) - 1;
	}

	return dp[s];
}

void dfs2(int nn, int s, int pa = -1){
	for (auto &v:adj[s]) if (v!=pa) dfs2(nn, v, s);
	if (s < n) return;

	ll rem = nn - dp0[s];
	for (auto &v:adj[s]) if (v!=pa){
		ans -= (dp0[s]-1) * dp[v] * (dp[v]-1);
		rem -= dp[v]-1;
	}

	rem++;
	ans -= (dp0[s]-1) * rem * (rem-1);
}

int main(){
	int m;
	scanf("%d %d", &n, &m);

	vector<array<int, 2>> E;

	for (int i=0;i<m;i++){
		int x, y;
		scanf("%d %d", &x, &y);
		--x, --y;
		E.push_back({x, y});
	}

	graph<int> G(n, E);
	biconnected_components BCC(G);

	int sz = n + BCC.count();
	for (int i=0;i<n;i++){
		for (auto &x:BCC.belongs[i]){
			assert(n+x < sz);
			adj[i].push_back(n+x);
			adj[n+x].push_back(i);
		}
	}

	for (int i=0;i<sz;i++){
		if (i<n) dp0[i] = dp[i] = 1;
		else dp0[i] = dp[i] = BCC.comp_vertex[i-n].size();
	}

	for (int i=0;i<sz;i++) if (!visited[i]){
		ll v = dfs1(i);
		if (v <= 2) continue;
		
		ans += v * (v-1) * (v-2);
		dfs2(v, i);
	}

	printf("%lld\n", ans);
}

Compilation message

count_triplets.cpp: In instantiation of 'biconnected_components::_run<int>::<lambda(auto:23, int, int)> [with auto:23 = biconnected_components::_run<int>::<lambda(auto:23, int, int)>]':
count_triplets.cpp:186:42:   required from 'void biconnected_components::_run(const graph<T>&, const std::vector<int>&) [with T = int]'
count_triplets.cpp:207:7:   required from 'void biconnected_components::run_all(const graph<T>&) [with T = int]'
count_triplets.cpp:118:63:   required from 'biconnected_components::biconnected_components(const graph<T>&) [with T = int]'
count_triplets.cpp:271:30:   required from here
count_triplets.cpp:140:17: warning: suggest parentheses around '&&' within '||' [-Wparentheses]
  140 |     if(g.ignore && g.ignore(id) || id == pe) continue;
      |        ~~~~~~~~~^~~~~~~~~~~~~~~
count_triplets.cpp: In function 'int main()':
count_triplets.cpp:259:7: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
  259 |  scanf("%d %d", &n, &m);
      |  ~~~~~^~~~~~~~~~~~~~~~~
count_triplets.cpp:265:8: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
  265 |   scanf("%d %d", &x, &y);
      |   ~~~~~^~~~~~~~~~~~~~~~~

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 10844 KB Output is correct
2 Correct 2 ms 10844 KB Output is correct
3 Correct 2 ms 10840 KB Output is correct
4 Correct 2 ms 10844 KB Output is correct
5 Correct 3 ms 10864 KB Output is correct
6 Correct 2 ms 10844 KB Output is correct
7 Correct 2 ms 10844 KB Output is correct
8 Correct 2 ms 10844 KB Output is correct
9 Correct 3 ms 10844 KB Output is correct
10 Correct 3 ms 10844 KB Output is correct
11 Correct 2 ms 10844 KB Output is correct
12 Correct 2 ms 10840 KB Output is correct
13 Correct 3 ms 10844 KB Output is correct
14 Correct 2 ms 10844 KB Output is correct
15 Correct 3 ms 10844 KB Output is correct
16 Correct 2 ms 10844 KB Output is correct
17 Correct 3 ms 10844 KB Output is correct
18 Correct 2 ms 10844 KB Output is correct
19 Correct 2 ms 10844 KB Output is correct
20 Correct 2 ms 10844 KB Output is correct
21 Correct 2 ms 10844 KB Output is correct
22 Correct 2 ms 10844 KB Output is correct
23 Correct 2 ms 10860 KB Output is correct
24 Correct 2 ms 10840 KB Output is correct
25 Correct 2 ms 10868 KB Output is correct
26 Correct 2 ms 10840 KB Output is correct
27 Correct 3 ms 10844 KB Output is correct
28 Correct 2 ms 10844 KB Output is correct
29 Correct 2 ms 10844 KB Output is correct
30 Correct 2 ms 10844 KB Output is correct
31 Correct 3 ms 11096 KB Output is correct
32 Correct 2 ms 10868 KB Output is correct
33 Correct 2 ms 10840 KB Output is correct
34 Correct 2 ms 10840 KB Output is correct
35 Correct 2 ms 10844 KB Output is correct

Subtask #2
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 10844 KB Output is correct
2 Correct 2 ms 10844 KB Output is correct
3 Correct 2 ms 10840 KB Output is correct
4 Correct 2 ms 10844 KB Output is correct
5 Correct 3 ms 10864 KB Output is correct
6 Correct 2 ms 10844 KB Output is correct
7 Correct 2 ms 10844 KB Output is correct
8 Correct 2 ms 10844 KB Output is correct
9 Correct 3 ms 10844 KB Output is correct
10 Correct 3 ms 10844 KB Output is correct
11 Correct 2 ms 10844 KB Output is correct
12 Correct 2 ms 10840 KB Output is correct
13 Correct 3 ms 10844 KB Output is correct
14 Correct 2 ms 10844 KB Output is correct
15 Correct 3 ms 10844 KB Output is correct
16 Correct 2 ms 10844 KB Output is correct
17 Correct 3 ms 10844 KB Output is correct
18 Correct 2 ms 10844 KB Output is correct
19 Correct 2 ms 10844 KB Output is correct
20 Correct 2 ms 10844 KB Output is correct
21 Correct 2 ms 10844 KB Output is correct
22 Correct 2 ms 10844 KB Output is correct
23 Correct 2 ms 10860 KB Output is correct
24 Correct 2 ms 10840 KB Output is correct
25 Correct 2 ms 10868 KB Output is correct
26 Correct 2 ms 10840 KB Output is correct
27 Correct 3 ms 10844 KB Output is correct
28 Correct 2 ms 10844 KB Output is correct
29 Correct 2 ms 10844 KB Output is correct
30 Correct 2 ms 10844 KB Output is correct
31 Correct 3 ms 11096 KB Output is correct
32 Correct 2 ms 10868 KB Output is correct
33 Correct 2 ms 10840 KB Output is correct
34 Correct 2 ms 10840 KB Output is correct
35 Correct 2 ms 10844 KB Output is correct
36 Correct 2 ms 10844 KB Output is correct
37 Correct 3 ms 10844 KB Output is correct
38 Correct 2 ms 10844 KB Output is correct
39 Correct 3 ms 10904 KB Output is correct
40 Correct 2 ms 10844 KB Output is correct
41 Correct 3 ms 10840 KB Output is correct
42 Correct 2 ms 10840 KB Output is correct
43 Correct 2 ms 10844 KB Output is correct
44 Correct 2 ms 10844 KB Output is correct
45 Correct 2 ms 10840 KB Output is correct
46 Correct 3 ms 10844 KB Output is correct
47 Correct 3 ms 10856 KB Output is correct
48 Correct 3 ms 10844 KB Output is correct
49 Correct 2 ms 10844 KB Output is correct
50 Correct 2 ms 10844 KB Output is correct
51 Correct 2 ms 10840 KB Output is correct
52 Correct 2 ms 10844 KB Output is correct
53 Correct 2 ms 10844 KB Output is correct
54 Correct 2 ms 11096 KB Output is correct
55 Correct 2 ms 10840 KB Output is correct
56 Correct 2 ms 10864 KB Output is correct
57 Correct 2 ms 10844 KB Output is correct
58 Correct 2 ms 10844 KB Output is correct
59 Correct 3 ms 11100 KB Output is correct
60 Correct 2 ms 10844 KB Output is correct
61 Correct 2 ms 10844 KB Output is correct
62 Correct 2 ms 10844 KB Output is correct
63 Correct 2 ms 10840 KB Output is correct
64 Correct 3 ms 10844 KB Output is correct
65 Correct 2 ms 10844 KB Output is correct

Subtask #3
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 82 ms 54896 KB Output is correct
2 Correct 83 ms 54980 KB Output is correct
3 Correct 106 ms 50628 KB Output is correct
4 Correct 92 ms 53216 KB Output is correct
5 Correct 93 ms 45752 KB Output is correct
6 Correct 118 ms 48504 KB Output is correct
7 Correct 123 ms 45796 KB Output is correct
8 Correct 124 ms 47896 KB Output is correct
9 Correct 102 ms 43192 KB Output is correct
10 Correct 102 ms 44224 KB Output is correct
11 Correct 78 ms 38084 KB Output is correct
12 Correct 74 ms 37560 KB Output is correct
13 Correct 72 ms 37048 KB Output is correct
14 Correct 67 ms 36544 KB Output is correct
15 Correct 51 ms 34012 KB Output is correct
16 Correct 74 ms 33596 KB Output is correct
17 Correct 9 ms 17108 KB Output is correct
18 Correct 12 ms 17032 KB Output is correct
19 Correct 13 ms 17360 KB Output is correct
20 Correct 8 ms 17108 KB Output is correct
21 Correct 7 ms 17108 KB Output is correct
22 Correct 8 ms 16992 KB Output is correct

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 11100 KB Output is correct
2 Correct 3 ms 11100 KB Output is correct
3 Correct 4 ms 11024 KB Output is correct
4 Correct 3 ms 11352 KB Output is correct
5 Correct 3 ms 11096 KB Output is correct
6 Correct 3 ms 11100 KB Output is correct
7 Correct 3 ms 11100 KB Output is correct
8 Correct 3 ms 11096 KB Output is correct
9 Correct 4 ms 11096 KB Output is correct
10 Correct 4 ms 11096 KB Output is correct
11 Correct 3 ms 11100 KB Output is correct
12 Correct 4 ms 11128 KB Output is correct
13 Correct 3 ms 11096 KB Output is correct
14 Correct 3 ms 11100 KB Output is correct
15 Correct 3 ms 11160 KB Output is correct
16 Correct 4 ms 10868 KB Output is correct
17 Correct 4 ms 11136 KB Output is correct
18 Correct 3 ms 11100 KB Output is correct
19 Correct 4 ms 11100 KB Output is correct
20 Correct 3 ms 11100 KB Output is correct

Subtask #5
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 181 ms 45668 KB Output is correct
2 Correct 135 ms 44972 KB Output is correct
3 Correct 130 ms 45084 KB Output is correct
4 Correct 158 ms 44992 KB Output is correct
5 Correct 157 ms 45588 KB Output is correct
6 Correct 185 ms 58356 KB Output is correct
7 Correct 177 ms 54028 KB Output is correct
8 Correct 168 ms 51268 KB Output is correct
9 Correct 184 ms 49084 KB Output is correct
10 Correct 150 ms 45488 KB Output is correct
11 Correct 184 ms 46596 KB Output is correct
12 Correct 164 ms 46384 KB Output is correct
13 Correct 179 ms 46196 KB Output is correct
14 Correct 108 ms 44708 KB Output is correct
15 Correct 104 ms 42036 KB Output is correct
16 Correct 57 ms 34732 KB Output is correct
17 Correct 109 ms 46980 KB Output is correct
18 Correct 98 ms 47288 KB Output is correct
19 Correct 103 ms 47280 KB Output is correct
20 Correct 102 ms 47172 KB Output is correct

Subtask #6
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 11096 KB Output is correct
2 Correct 3 ms 11100 KB Output is correct
3 Correct 4 ms 11096 KB Output is correct
4 Correct 4 ms 11100 KB Output is correct
5 Correct 3 ms 11096 KB Output is correct
6 Correct 3 ms 11100 KB Output is correct
7 Correct 3 ms 11096 KB Output is correct
8 Correct 3 ms 11100 KB Output is correct
9 Correct 3 ms 11096 KB Output is correct
10 Correct 2 ms 11100 KB Output is correct
11 Correct 2 ms 11100 KB Output is correct
12 Correct 3 ms 11100 KB Output is correct
13 Correct 3 ms 11100 KB Output is correct
14 Correct 3 ms 11100 KB Output is correct
15 Correct 3 ms 11100 KB Output is correct
16 Correct 3 ms 11100 KB Output is correct
17 Correct 3 ms 11096 KB Output is correct
18 Correct 3 ms 11100 KB Output is correct
19 Correct 3 ms 11096 KB Output is correct
20 Correct 3 ms 11352 KB Output is correct
21 Correct 4 ms 11204 KB Output is correct
22 Correct 3 ms 11100 KB Output is correct
23 Correct 3 ms 11096 KB Output is correct
24 Correct 3 ms 11100 KB Output is correct
25 Correct 2 ms 10844 KB Output is correct
26 Correct 3 ms 10968 KB Output is correct
27 Correct 2 ms 10840 KB Output is correct

Subtask #7
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 141 ms 45288 KB Output is correct
2 Correct 126 ms 44724 KB Output is correct
3 Correct 119 ms 43196 KB Output is correct
4 Correct 114 ms 39296 KB Output is correct
5 Correct 93 ms 36036 KB Output is correct
6 Correct 90 ms 33216 KB Output is correct
7 Correct 85 ms 32648 KB Output is correct
8 Correct 74 ms 31676 KB Output is correct
9 Correct 71 ms 31396 KB Output is correct
10 Correct 88 ms 31184 KB Output is correct
11 Correct 74 ms 30660 KB Output is correct
12 Correct 75 ms 30656 KB Output is correct
13 Correct 81 ms 30892 KB Output is correct
14 Correct 76 ms 36492 KB Output is correct
15 Correct 167 ms 53336 KB Output is correct
16 Correct 178 ms 49852 KB Output is correct
17 Correct 163 ms 50936 KB Output is correct
18 Correct 161 ms 48156 KB Output is correct
19 Correct 107 ms 39216 KB Output is correct
20 Correct 106 ms 40896 KB Output is correct
21 Correct 116 ms 40796 KB Output is correct
22 Correct 92 ms 38852 KB Output is correct
23 Correct 82 ms 37060 KB Output is correct
24 Correct 119 ms 44768 KB Output is correct
25 Correct 141 ms 45492 KB Output is correct
26 Correct 119 ms 42940 KB Output is correct
27 Correct 123 ms 43960 KB Output is correct

Subtask #8
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 10844 KB Output is correct
2 Correct 2 ms 10844 KB Output is correct
3 Correct 2 ms 10840 KB Output is correct
4 Correct 2 ms 10844 KB Output is correct
5 Correct 3 ms 10864 KB Output is correct
6 Correct 2 ms 10844 KB Output is correct
7 Correct 2 ms 10844 KB Output is correct
8 Correct 2 ms 10844 KB Output is correct
9 Correct 3 ms 10844 KB Output is correct
10 Correct 3 ms 10844 KB Output is correct
11 Correct 2 ms 10844 KB Output is correct
12 Correct 2 ms 10840 KB Output is correct
13 Correct 3 ms 10844 KB Output is correct
14 Correct 2 ms 10844 KB Output is correct
15 Correct 3 ms 10844 KB Output is correct
16 Correct 2 ms 10844 KB Output is correct
17 Correct 3 ms 10844 KB Output is correct
18 Correct 2 ms 10844 KB Output is correct
19 Correct 2 ms 10844 KB Output is correct
20 Correct 2 ms 10844 KB Output is correct
21 Correct 2 ms 10844 KB Output is correct
22 Correct 2 ms 10844 KB Output is correct
23 Correct 2 ms 10860 KB Output is correct
24 Correct 2 ms 10840 KB Output is correct
25 Correct 2 ms 10868 KB Output is correct
26 Correct 2 ms 10840 KB Output is correct
27 Correct 3 ms 10844 KB Output is correct
28 Correct 2 ms 10844 KB Output is correct
29 Correct 2 ms 10844 KB Output is correct
30 Correct 2 ms 10844 KB Output is correct
31 Correct 3 ms 11096 KB Output is correct
32 Correct 2 ms 10868 KB Output is correct
33 Correct 2 ms 10840 KB Output is correct
34 Correct 2 ms 10840 KB Output is correct
35 Correct 2 ms 10844 KB Output is correct
36 Correct 2 ms 10844 KB Output is correct
37 Correct 3 ms 10844 KB Output is correct
38 Correct 2 ms 10844 KB Output is correct
39 Correct 3 ms 10904 KB Output is correct
40 Correct 2 ms 10844 KB Output is correct
41 Correct 3 ms 10840 KB Output is correct
42 Correct 2 ms 10840 KB Output is correct
43 Correct 2 ms 10844 KB Output is correct
44 Correct 2 ms 10844 KB Output is correct
45 Correct 2 ms 10840 KB Output is correct
46 Correct 3 ms 10844 KB Output is correct
47 Correct 3 ms 10856 KB Output is correct
48 Correct 3 ms 10844 KB Output is correct
49 Correct 2 ms 10844 KB Output is correct
50 Correct 2 ms 10844 KB Output is correct
51 Correct 2 ms 10840 KB Output is correct
52 Correct 2 ms 10844 KB Output is correct
53 Correct 2 ms 10844 KB Output is correct
54 Correct 2 ms 11096 KB Output is correct
55 Correct 2 ms 10840 KB Output is correct
56 Correct 2 ms 10864 KB Output is correct
57 Correct 2 ms 10844 KB Output is correct
58 Correct 2 ms 10844 KB Output is correct
59 Correct 3 ms 11100 KB Output is correct
60 Correct 2 ms 10844 KB Output is correct
61 Correct 2 ms 10844 KB Output is correct
62 Correct 2 ms 10844 KB Output is correct
63 Correct 2 ms 10840 KB Output is correct
64 Correct 3 ms 10844 KB Output is correct
65 Correct 2 ms 10844 KB Output is correct
66 Correct 2 ms 10844 KB Output is correct
67 Correct 3 ms 11100 KB Output is correct
68 Correct 3 ms 11100 KB Output is correct
69 Correct 3 ms 11100 KB Output is correct
70 Correct 3 ms 11100 KB Output is correct
71 Correct 3 ms 11096 KB Output is correct
72 Correct 3 ms 11096 KB Output is correct
73 Correct 3 ms 11100 KB Output is correct
74 Correct 4 ms 11100 KB Output is correct
75 Correct 3 ms 11108 KB Output is correct
76 Correct 2 ms 10864 KB Output is correct
77 Correct 3 ms 11100 KB Output is correct
78 Correct 4 ms 11096 KB Output is correct
79 Correct 3 ms 11100 KB Output is correct
80 Correct 3 ms 10928 KB Output is correct
81 Correct 2 ms 11100 KB Output is correct
82 Correct 3 ms 11100 KB Output is correct
83 Correct 3 ms 11132 KB Output is correct
84 Correct 3 ms 11096 KB Output is correct
85 Correct 3 ms 11100 KB Output is correct
86 Correct 3 ms 11100 KB Output is correct
87 Correct 3 ms 11100 KB Output is correct
88 Correct 3 ms 11096 KB Output is correct
89 Correct 3 ms 11100 KB Output is correct
90 Correct 3 ms 11100 KB Output is correct
91 Correct 3 ms 11100 KB Output is correct
92 Correct 3 ms 11352 KB Output is correct

Subtask #9
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 10844 KB Output is correct
2 Correct 2 ms 10844 KB Output is correct
3 Correct 2 ms 10840 KB Output is correct
4 Correct 2 ms 10844 KB Output is correct
5 Correct 3 ms 10864 KB Output is correct
6 Correct 2 ms 10844 KB Output is correct
7 Correct 2 ms 10844 KB Output is correct
8 Correct 2 ms 10844 KB Output is correct
9 Correct 3 ms 10844 KB Output is correct
10 Correct 3 ms 10844 KB Output is correct
11 Correct 2 ms 10844 KB Output is correct
12 Correct 2 ms 10840 KB Output is correct
13 Correct 3 ms 10844 KB Output is correct
14 Correct 2 ms 10844 KB Output is correct
15 Correct 3 ms 10844 KB Output is correct
16 Correct 2 ms 10844 KB Output is correct
17 Correct 3 ms 10844 KB Output is correct
18 Correct 2 ms 10844 KB Output is correct
19 Correct 2 ms 10844 KB Output is correct
20 Correct 2 ms 10844 KB Output is correct
21 Correct 2 ms 10844 KB Output is correct
22 Correct 2 ms 10844 KB Output is correct
23 Correct 2 ms 10860 KB Output is correct
24 Correct 2 ms 10840 KB Output is correct
25 Correct 2 ms 10868 KB Output is correct
26 Correct 2 ms 10840 KB Output is correct
27 Correct 3 ms 10844 KB Output is correct
28 Correct 2 ms 10844 KB Output is correct
29 Correct 2 ms 10844 KB Output is correct
30 Correct 2 ms 10844 KB Output is correct
31 Correct 3 ms 11096 KB Output is correct
32 Correct 2 ms 10868 KB Output is correct
33 Correct 2 ms 10840 KB Output is correct
34 Correct 2 ms 10840 KB Output is correct
35 Correct 2 ms 10844 KB Output is correct
36 Correct 2 ms 10844 KB Output is correct
37 Correct 3 ms 10844 KB Output is correct
38 Correct 2 ms 10844 KB Output is correct
39 Correct 3 ms 10904 KB Output is correct
40 Correct 2 ms 10844 KB Output is correct
41 Correct 3 ms 10840 KB Output is correct
42 Correct 2 ms 10840 KB Output is correct
43 Correct 2 ms 10844 KB Output is correct
44 Correct 2 ms 10844 KB Output is correct
45 Correct 2 ms 10840 KB Output is correct
46 Correct 3 ms 10844 KB Output is correct
47 Correct 3 ms 10856 KB Output is correct
48 Correct 3 ms 10844 KB Output is correct
49 Correct 2 ms 10844 KB Output is correct
50 Correct 2 ms 10844 KB Output is correct
51 Correct 2 ms 10840 KB Output is correct
52 Correct 2 ms 10844 KB Output is correct
53 Correct 2 ms 10844 KB Output is correct
54 Correct 2 ms 11096 KB Output is correct
55 Correct 2 ms 10840 KB Output is correct
56 Correct 2 ms 10864 KB Output is correct
57 Correct 2 ms 10844 KB Output is correct
58 Correct 2 ms 10844 KB Output is correct
59 Correct 3 ms 11100 KB Output is correct
60 Correct 2 ms 10844 KB Output is correct
61 Correct 2 ms 10844 KB Output is correct
62 Correct 2 ms 10844 KB Output is correct
63 Correct 2 ms 10840 KB Output is correct
64 Correct 3 ms 10844 KB Output is correct
65 Correct 2 ms 10844 KB Output is correct
66 Correct 82 ms 54896 KB Output is correct
67 Correct 83 ms 54980 KB Output is correct
68 Correct 106 ms 50628 KB Output is correct
69 Correct 92 ms 53216 KB Output is correct
70 Correct 93 ms 45752 KB Output is correct
71 Correct 118 ms 48504 KB Output is correct
72 Correct 123 ms 45796 KB Output is correct
73 Correct 124 ms 47896 KB Output is correct
74 Correct 102 ms 43192 KB Output is correct
75 Correct 102 ms 44224 KB Output is correct
76 Correct 78 ms 38084 KB Output is correct
77 Correct 74 ms 37560 KB Output is correct
78 Correct 72 ms 37048 KB Output is correct
79 Correct 67 ms 36544 KB Output is correct
80 Correct 51 ms 34012 KB Output is correct
81 Correct 74 ms 33596 KB Output is correct
82 Correct 9 ms 17108 KB Output is correct
83 Correct 12 ms 17032 KB Output is correct
84 Correct 13 ms 17360 KB Output is correct
85 Correct 8 ms 17108 KB Output is correct
86 Correct 7 ms 17108 KB Output is correct
87 Correct 8 ms 16992 KB Output is correct
88 Correct 3 ms 11100 KB Output is correct
89 Correct 3 ms 11100 KB Output is correct
90 Correct 4 ms 11024 KB Output is correct
91 Correct 3 ms 11352 KB Output is correct
92 Correct 3 ms 11096 KB Output is correct
93 Correct 3 ms 11100 KB Output is correct
94 Correct 3 ms 11100 KB Output is correct
95 Correct 3 ms 11096 KB Output is correct
96 Correct 4 ms 11096 KB Output is correct
97 Correct 4 ms 11096 KB Output is correct
98 Correct 3 ms 11100 KB Output is correct
99 Correct 4 ms 11128 KB Output is correct
100 Correct 3 ms 11096 KB Output is correct
101 Correct 3 ms 11100 KB Output is correct
102 Correct 3 ms 11160 KB Output is correct
103 Correct 4 ms 10868 KB Output is correct
104 Correct 4 ms 11136 KB Output is correct
105 Correct 3 ms 11100 KB Output is correct
106 Correct 4 ms 11100 KB Output is correct
107 Correct 3 ms 11100 KB Output is correct
108 Correct 181 ms 45668 KB Output is correct
109 Correct 135 ms 44972 KB Output is correct
110 Correct 130 ms 45084 KB Output is correct
111 Correct 158 ms 44992 KB Output is correct
112 Correct 157 ms 45588 KB Output is correct
113 Correct 185 ms 58356 KB Output is correct
114 Correct 177 ms 54028 KB Output is correct
115 Correct 168 ms 51268 KB Output is correct
116 Correct 184 ms 49084 KB Output is correct
117 Correct 150 ms 45488 KB Output is correct
118 Correct 184 ms 46596 KB Output is correct
119 Correct 164 ms 46384 KB Output is correct
120 Correct 179 ms 46196 KB Output is correct
121 Correct 108 ms 44708 KB Output is correct
122 Correct 104 ms 42036 KB Output is correct
123 Correct 57 ms 34732 KB Output is correct
124 Correct 109 ms 46980 KB Output is correct
125 Correct 98 ms 47288 KB Output is correct
126 Correct 103 ms 47280 KB Output is correct
127 Correct 102 ms 47172 KB Output is correct
128 Correct 3 ms 11096 KB Output is correct
129 Correct 3 ms 11100 KB Output is correct
130 Correct 4 ms 11096 KB Output is correct
131 Correct 4 ms 11100 KB Output is correct
132 Correct 3 ms 11096 KB Output is correct
133 Correct 3 ms 11100 KB Output is correct
134 Correct 3 ms 11096 KB Output is correct
135 Correct 3 ms 11100 KB Output is correct
136 Correct 3 ms 11096 KB Output is correct
137 Correct 2 ms 11100 KB Output is correct
138 Correct 2 ms 11100 KB Output is correct
139 Correct 3 ms 11100 KB Output is correct
140 Correct 3 ms 11100 KB Output is correct
141 Correct 3 ms 11100 KB Output is correct
142 Correct 3 ms 11100 KB Output is correct
143 Correct 3 ms 11100 KB Output is correct
144 Correct 3 ms 11096 KB Output is correct
145 Correct 3 ms 11100 KB Output is correct
146 Correct 3 ms 11096 KB Output is correct
147 Correct 3 ms 11352 KB Output is correct
148 Correct 4 ms 11204 KB Output is correct
149 Correct 3 ms 11100 KB Output is correct
150 Correct 3 ms 11096 KB Output is correct
151 Correct 3 ms 11100 KB Output is correct
152 Correct 2 ms 10844 KB Output is correct
153 Correct 3 ms 10968 KB Output is correct
154 Correct 2 ms 10840 KB Output is correct
155 Correct 141 ms 45288 KB Output is correct
156 Correct 126 ms 44724 KB Output is correct
157 Correct 119 ms 43196 KB Output is correct
158 Correct 114 ms 39296 KB Output is correct
159 Correct 93 ms 36036 KB Output is correct
160 Correct 90 ms 33216 KB Output is correct
161 Correct 85 ms 32648 KB Output is correct
162 Correct 74 ms 31676 KB Output is correct
163 Correct 71 ms 31396 KB Output is correct
164 Correct 88 ms 31184 KB Output is correct
165 Correct 74 ms 30660 KB Output is correct
166 Correct 75 ms 30656 KB Output is correct
167 Correct 81 ms 30892 KB Output is correct
168 Correct 76 ms 36492 KB Output is correct
169 Correct 167 ms 53336 KB Output is correct
170 Correct 178 ms 49852 KB Output is correct
171 Correct 163 ms 50936 KB Output is correct
172 Correct 161 ms 48156 KB Output is correct
173 Correct 107 ms 39216 KB Output is correct
174 Correct 106 ms 40896 KB Output is correct
175 Correct 116 ms 40796 KB Output is correct
176 Correct 92 ms 38852 KB Output is correct
177 Correct 82 ms 37060 KB Output is correct
178 Correct 119 ms 44768 KB Output is correct
179 Correct 141 ms 45492 KB Output is correct
180 Correct 119 ms 42940 KB Output is correct
181 Correct 123 ms 43960 KB Output is correct
182 Correct 2 ms 10844 KB Output is correct
183 Correct 3 ms 11100 KB Output is correct
184 Correct 3 ms 11100 KB Output is correct
185 Correct 3 ms 11100 KB Output is correct
186 Correct 3 ms 11100 KB Output is correct
187 Correct 3 ms 11096 KB Output is correct
188 Correct 3 ms 11096 KB Output is correct
189 Correct 3 ms 11100 KB Output is correct
190 Correct 4 ms 11100 KB Output is correct
191 Correct 3 ms 11108 KB Output is correct
192 Correct 2 ms 10864 KB Output is correct
193 Correct 3 ms 11100 KB Output is correct
194 Correct 4 ms 11096 KB Output is correct
195 Correct 3 ms 11100 KB Output is correct
196 Correct 3 ms 10928 KB Output is correct
197 Correct 2 ms 11100 KB Output is correct
198 Correct 3 ms 11100 KB Output is correct
199 Correct 3 ms 11132 KB Output is correct
200 Correct 3 ms 11096 KB Output is correct
201 Correct 3 ms 11100 KB Output is correct
202 Correct 3 ms 11100 KB Output is correct
203 Correct 3 ms 11100 KB Output is correct
204 Correct 3 ms 11096 KB Output is correct
205 Correct 3 ms 11100 KB Output is correct
206 Correct 3 ms 11100 KB Output is correct
207 Correct 3 ms 11100 KB Output is correct
208 Correct 3 ms 11352 KB Output is correct
209 Correct 7 ms 17108 KB Output is correct
210 Correct 55 ms 33472 KB Output is correct
211 Correct 91 ms 42860 KB Output is correct
212 Correct 109 ms 48504 KB Output is correct
213 Correct 116 ms 51640 KB Output is correct
214 Correct 59 ms 37328 KB Output is correct
215 Correct 58 ms 34900 KB Output is correct
216 Correct 137 ms 43924 KB Output is correct
217 Correct 136 ms 38568 KB Output is correct
218 Correct 84 ms 33140 KB Output is correct
219 Correct 67 ms 32204 KB Output is correct
220 Correct 87 ms 31836 KB Output is correct
221 Correct 64 ms 31768 KB Output is correct
222 Correct 70 ms 34756 KB Output is correct
223 Correct 116 ms 45236 KB Output is correct
224 Correct 145 ms 43044 KB Output is correct
225 Correct 125 ms 37724 KB Output is correct
226 Correct 97 ms 38820 KB Output is correct
227 Correct 127 ms 38388 KB Output is correct
228 Correct 91 ms 34912 KB Output is correct
229 Correct 76 ms 34000 KB Output is correct
230 Correct 135 ms 40376 KB Output is correct
231 Correct 112 ms 39580 KB Output is correct